Categoria:
Seminari di Modellistica Differenziale Numerica
Data e ora inizio evento:
Data e ora fine evento:
Aula:
Sala di Consiglio
Sede:
Dipartimento di Matematica Guido Castelnuovo, Università Sapienza Roma
Aula esterna:
on-line su ZOOM
Speaker:
Matteo Piu, Sapienza, Università di Roma
This talk is devoted to the modeling and the stability of multi-lane traffic flow in the microscopic and macroscopic frameworks. First we present the study of a second order microscopic Follow-the-Leader Bando model in which we propose simple lane changing conditions. Afterwards we describe the derivation of a new first order macroscopic model which is obtained without postulating ad hoc micro-to-macro scalings. Further, we compute the equilibria for both models and we establish conditions for their stability. Finally we show some numerical examples that confirm the results of the theoretical analysis.